WBCS Mains 2020 Official Paper-VI

Monica, Amar, Akbar and Anthony live in four apartments that are arranged side by side. Only one of the four persons is the landlord whose apartment is at one end. Amar's apartment is neither next to Monica's apartment nor next to Akbar's apartment. Monica's apartment is not at one end. Amar is not the landlord. Who is the landlord?

If $(a,b)\ast (c,d)=(a+d)-\frac{c}{b}$, then $\left(\frac{5}{6},\frac{2}{7}\right)\ast \left(\frac{3}{7},\frac{2}{3}\right)$ will be:

Simplify the expression: ${\log }_{4}3\cdot {\log }_{243}64$

If the current ratio of the father's age to the son's age is $4:1$ and the product of their ages is $256$, what will be the ratio of their ages after $5$ years?

Monica, Amar, Akbar and Anthony live in four apartments that are arranged side by side. Only one of the four persons is the landlord whose apartment is at one end. Amar's apartment is neither next to Monica's apartment nor next to Akbar's apartment. Monica's apartment is not at one end. Amar is not the landlord. Monica lives: